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Coxeter element and Symmetric group

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Coxeter element and Symmetric group

Coxeter element vs. Symmetric group

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group. In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

Similarities between Coxeter element and Symmetric group

Coxeter element and Symmetric group have 7 things in common (in Unionpedia): Cambridge University Press, Conjugacy class, Coxeter group, Cube, Icosahedral symmetry, Longest element of a Coxeter group, Order (group theory).

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

Cambridge University Press and Coxeter element · Cambridge University Press and Symmetric group · See more »

Conjugacy class

In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure.

Conjugacy class and Coxeter element · Conjugacy class and Symmetric group · See more »

Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

Coxeter element and Coxeter group · Coxeter group and Symmetric group · See more »

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

Coxeter element and Cube · Cube and Symmetric group · See more »

Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

Coxeter element and Icosahedral symmetry · Icosahedral symmetry and Symmetric group · See more »

Longest element of a Coxeter group

In mathematics, the longest element of a Coxeter group is the unique element of maximal length in a finite Coxeter group with respect to the chosen generating set consisting of simple reflections.

Coxeter element and Longest element of a Coxeter group · Longest element of a Coxeter group and Symmetric group · See more »

Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

Coxeter element and Order (group theory) · Order (group theory) and Symmetric group · See more »

The list above answers the following questions

Coxeter element and Symmetric group Comparison

Coxeter element has 57 relations, while Symmetric group has 138. As they have in common 7, the Jaccard index is 3.59% = 7 / (57 + 138).

References

This article shows the relationship between Coxeter element and Symmetric group. To access each article from which the information was extracted, please visit:

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